Solve 24/7*45/9=

$$2 \frac { 4 } { 7 } \times 4 \frac { 5 } { 9 } =$$

Evaluate

$$\frac{82}{7}\approx 11.714285714$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+4}{7}\times \frac{4\times 9+5}{9}$$

Add 14 and 4 to get 18.

$$\frac{18}{7}\times \frac{4\times 9+5}{9}$$

Multiply 4 and 9 to get 36.

$$\frac{18}{7}\times \frac{36+5}{9}$$

Add 36 and 5 to get 41.

$$\frac{18}{7}\times \frac{41}{9}$$

Multiply \frac{18}{7} times \frac{41}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 41}{7\times 9}$$

Do the multiplications in the fraction \frac{18\times 41}{7\times 9}.

$$\frac{738}{63}$$

Reduce the fraction \frac{738}{63} to lowest terms by extracting and canceling out 9.

$$\frac{82}{7}$$

Factor

$$\frac{2 \cdot 41}{7} = 11\frac{5}{7} = 11.714285714285714$$